An extension of LaSalle’s Invariance Principle for a class of switched linear systems

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• 作者：Jinhuan Wang ; Daizhan Cheng ; Xiaoming Hu
• 关键词：LaSalle’ ; s Invariance Principle ; Switched linear systems ; Weak common quadratic Lyapunov function
• 刊名：Systems and Control Letters
• 出版年：2009
• 出版时间：October-November 2009
• 年：2009
• 卷：58
• 期：10-11
• 页码：754-758
• 全文大小：1375 K

文摘

In this paper LaSalle’s Invariance Principle for switched linear systems is studied. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, in this paper the switching modes are allowed to be only Lyapunov stable. Under certain ergodicity assumptions, an extension of LaSalle’s Invariance Principle for global asymptotic stability of switched linear systems is proposed provided that the kernels of derivatives of a common quadratic Lyapunov function with respect to the switching modes are disjoint (except the origin).